A hyperpyth tuning, 17ed5 offers a good compromise between 13/5 and 17/5, but the 9/5 of 983 cents is a little bit flat. However, in hyperpyth, 21/5 isn't necessarily represented, at least not as well. In 17ed5, the 21/5 is represented about as well as the 9/5 is, although that's not too good. Luckily, 27, 29, and 39 do a fair job of it. Nevertheless it's the simplest equal hyperpyth after 5ed5, and quite consonant. I imagine it to be the traditional tonality of the tiny creatures living on subatomic particles.
But wait, an interesting pattern emerges:
22ed5 focuses on 9/5
27ed5 focuses on 13/5
29ed5 focuses on 17/5
(and 34=17*2)
so: 22+27+29=78=39*2
and behold, of the lot, 39ed5 offers the best balance between those intervals.
Division of the 5/1 into 17 tones
A hyperpyth tuning, 17ed5 offers a good compromise between 13/5 and 17/5, but the 9/5 of 983 cents is a little bit flat. However, in hyperpyth, 21/5 isn't necessarily represented, at least not as well. In 17ed5, the 21/5 is represented about as well as the 9/5 is, although that's not too good. Luckily, 27, 29, and 39 do a fair job of it. Nevertheless it's the simplest equal hyperpyth after 5ed5, and quite consonant. I imagine it to be the traditional tonality of the tiny creatures living on subatomic particles.
But wait, an interesting pattern emerges:
22ed5 focuses on 9/5
27ed5 focuses on 13/5
29ed5 focuses on 17/5
(and 34=17*2)
so: 22+27+29=78=39*2
and behold, of the lot, 39ed5 offers the best balance between those intervals.